Detergent {ANOFA}

Detergent data

Description

The data, taken from Ries and Smith (1963), is a dataset examining the distribution of a large sample of customers, classified over four factors: ⁠Softness of water used⁠ (3 levels: soft, medium or hard), ⁠Expressed preference for brand M or X after blind test⁠ (2 levels: Brand M or Brand X), ⁠Previously used brand M⁠ (2 levels: yes or no), and ⁠Temperature of landry water⁠ (2 levels: hot or cold). It is therefore a 3 × 2 × 2 × 2 design with 24 cells.

Usage

Detergent

Format

An object of class list.

Source

doi:10.20982/tqmp.19.2.p173

References

Ries P, Smith H (1963). “The use of chi-square for preference testing in multidimensional problems.” Chemical Engineering Progress, 59, 39-43.

Examples

# convert the data to a data.frame
dta <- data.frame(Detergent)

# run the anofa analysis
## Not run: 
w <- anofa( Freq ~  Temperature * M_User * Preference * Water_softness, dta)

# make a plot with all the factors
anofaPlot(w)

# ... or with just a few factors
anofaPlot(w, ~ Preference * M_User )
anofaPlot(w, ~ Temperature )

# extract simple effects
e <- emFrequencies(w, ~ M_User | Preference ) 

## End(Not run)